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A068988
a(n) = first position in the decimal expansion of e where the pattern "1,2,...,n" occurs.
0
3, 371, 604, 1004, 166413, 420753
OFFSET
1,1
COMMENTS
1. We may never know if a(n) is defined for all n.
2. We split up the digits of any number > 9 in the pattern, e.g., if n = 11, we search for the pattern "1,2,3,4,5,6,7,8,9,1,0,1,1".
3. The pattern "1,2,3,4,5" does not occur before the 100,000th term in the digit sequence of e.
It appears that a(7) > 5000000. - Rick L. Shepherd, Aug 21 2002
MATHEMATICA
p = ToString[N[E, 100000]/10]; t = {1, 12, 123, 1234}; g[n_] := StringPosition[p, ToString[n]][[1]][[1]] - 2; Table[g[t[[i]]], {i, 1, 4}]
CROSSREFS
Cf. A001113 (e, with several sources of digits).
Sequence in context: A324269 A173648 A110717 * A136025 A370448 A157577
KEYWORD
nonn,base
AUTHOR
Joseph L. Pe, Apr 01 2002
EXTENSIONS
More terms from Rick L. Shepherd, Aug 21 2002
STATUS
approved